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242504145045 = 325194150913591
BaseRepresentation
bin1110000111011001011…
…1111001100010010101
3212011221112022222012200
43201312113321202111
512433122030120140
6303223241235113
723343323136141
oct3416627714225
9764845288180
10242504145045
11939332a44a8
123abba192a99
1319b39122766
14ba4709c221
156494c05030
hex38765f9895

242504145045 has 96 divisors (see below), whose sum is σ = 454179398400. Its totient is φ = 119296281600.

The previous prime is 242504145011. The next prime is 242504145047. The reversal of 242504145045 is 540541405242.

242504145045 is a `hidden beast` number, since 2 + 4 + 2 + 504 + 145 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 242504145045 - 214 = 242504128661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242504145047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17836200 + ... + 17849790.

It is an arithmetic number, because the mean of its divisors is an integer number (4731035400).

Almost surely, 2242504145045 is an apocalyptic number.

It is an amenable number.

242504145045 is a deficient number, since it is larger than the sum of its proper divisors (211675253355).

242504145045 is a wasteful number, since it uses less digits than its factorization.

242504145045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 242504145045 in words is "two hundred forty-two billion, five hundred four million, one hundred forty-five thousand, forty-five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 369 509 615 779 855 1527 1845 2337 2545 3895 4581 7011 7635 9671 11685 13591 20869 22905 29013 35055 40773 48355 62607 67955 87039 104345 122319 145065 187821 203865 258229 313035 396511 435195 557231 611595 774687 939105 1189533 1291145 1671693 1982555 2324061 2786155 3568599 3873435 5015079 5947665 6917819 8358465 10587389 11620305 17842995 20753457 25075395 31762167 34589095 52936945 62260371 95286501 103767285 131438561 158810835 283630579 311301855 394315683 476432505 657192805 850891737 1182947049 1418152895 1971578415 2552675211 4254458685 5388981001 5914735245 12763376055 16166943003 26944905005 48500829009 80834715015 242504145045